Geodesic
Scattering of small solutions of a symmetric regularized-long-wave equation
Sevdzhan Hakkaev1
1 Faculty of Mathematics and Informatics Shumen University 9712 Shumen, Bulgaria
Applicationes Mathematicae, Tome 31 (2004) no. 3, pp. 313-320 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the decay in time of solutions of a symmetric regularized-long-wave equation and we show that under some restriction on the form of nonlinearity, the solutions of the nonlinear equation have the same long time behavior as those of the linear equation. This behavior allows us to establish a nonlinear scattering result for small perturbations.
DOI : 10.4064/am31-3-6
Keywords: study decay time solutions symmetric regularized long wave equation under restriction form nonlinearity solutions nonlinear equation have long time behavior those linear equation behavior allows establish nonlinear scattering result small perturbations

Sevdzhan Hakkaev 1

1 Faculty of Mathematics and Informatics Shumen University 9712 Shumen, Bulgaria 
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Sevdzhan Hakkaev. Scattering of small solutions of a symmetric
 regularized-long-wave equation. Applicationes Mathematicae, Tome 31 (2004) no. 3, pp. 313-320. doi: 10.4064/am31-3-6

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